Speed
A car travels 200 m in 10 s.
What is its speed?
speed = 200 ÷ 10 = 20 m/s
A hiker walks 5 km north, then 3 km south, then 2 km north.
What is the total distance?
Total distance = 5km + 3km + 2km = 10 km
True or False
Is speed and velocity identical measurements?
FALSE
Speed has magnitude
Velocity has magnitude and direction
A runner goes 100 m north then 100 m south.
What is the displacement?
0 m (returned to start)
True or False:
Speed and velocity are always the same value.
FALSE
They are only the same when motion is in one direction in a straight line.
A plane flies 900 km in 3 hours.
What is its speed?
speed = 900 ÷ 3 = 300 km/h
A paper airplane is thrown 12 meters east in 3 seconds. It then falls 4 meters south in 1 second.
What is the total distance traveled?
Total distance:
12m + 4m = 16m
A dog runs 15 m west in 3 s.
What is its velocity?
velocity = 15 ÷ 3 = 5 m/s west
A hiker walks 5 km north, then 3 km south, then 2 km north.
What is the displacement?
5-km N + 2-km N - 3-km S
7-km N - 3-km S
4N
A train travels 600 km in 4 hours. During the last hour, it accelerates from 100 km/h to 200 km/h.
What is the train's acceleration during the last hour?
Acceleration:
(200 - 100) ÷ 1 = 100
A skater slows from 8 m/s to 2 m/s in 3 s.
What is the acceleration?
a = (2 - 8) ÷ 3 = -2 m/s²
A drone flies 300 meters north in 60 seconds, then 100 meters south in 20 seconds.
What is the total distance?
Total distance:
300m + 100m = 400m
A boat travels 40 meters east in 8 seconds, then 10 meters west in 2 seconds.
What is the boat's average velocity for the entire trip?
Velocity
30 ÷ 10 = 3 m/s east
An ant walks 2 meters east, 3 meters west, and then 1 meter east.
What is the ant's displacement?
Displacement:
0 meters (returned to start)
A person walks 7 m east then 3 m west.
What is the distance?
What is the displacement?
Distance = 10 m
Displacement = 4 m east
A bike goes from 0 m/s to 12 m/s in 4 s.
What is its acceleration?
a = (12 - 0) ÷ 4 = 3 m/s²
A 5 hour plane trip from Austin, TX to Seattle, WA was flown at a speed of 105 mph.
How much distance was the trip?
Distance: d = s * t
105 * 5 = 525 miles
A ball rolls 50 m east in 5 s.
What is its velocity?
Velocity:
50 ÷ 5 = 10 m/s East
A toy car travels 6 meters east, then 6 meters west in 4 seconds.
What is the toy car's displacement?
Displacement:
---> - <---
6E - 6W = 0
A person on a moving bus says a cup on the dashboard is not moving. Is this correct? Why?
YES
From the person's frame of reference (the bus), the cup is stationary.
A roller coaster goes from 0 m/s to 30 m/s in 6 seconds at the start, then slows from 30 m/s to 10 m/s in 4 seconds at the end.
What is the acceleration at the start, and the end?
Start: (30 - 0) ÷ 6 sec = 5 m/s²
End: (30 - 10) ÷ 4 sec = -5 m/s² (negative = deceleration)
John drives to work on Monday at 40mph for 60 mins. On Tuesday he drive 60 mph for 40 mins.
Which trip was the shortest distance?
The same
d = s * t = 40 * 60 = 240 miles
An object moves in a complete circle, returning to its starting point, in 10 seconds. The circumference of the circle is 40 meters.
What is the object's average velocity?
Velocity:
0 ÷ 10 = 0 m/s
A drone flies 300 meters north in 60 seconds, then 100 meters south in 20 seconds.
What is the total displacement?
Total displacement:
300 North - 100 South = 200 North
A rocket accelerates from 0 m/s to 100 m/s in 5 seconds.
What is the rocket's acceleration?
Acceleration
(100 - 0) ÷ 5 = 20